The solution to 4\div 6/5 is 10/3

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4\div 6/5

Solution

4 \div \frac{6}{5}

\frac{10}{3}

Solution steps

4 \div \frac{6}{5}

Convert element to fraction:

4 = \frac{4}{1}

= \frac{4}{1} \div \frac{6}{5}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{4}{1} \times \frac{5}{6}

Cross-cancel common factor:

2

= \frac{2}{1} \times \frac{5}{3}

Multiply fractions:

\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}

= \frac{2 \times 5}{1 \times 3}

Multiply the numbers:

2 \times 5 = 10

= \frac{10}{1 \times 3}

Multiply the numbers:

1 \times 3 = 3

= \frac{10}{3}

2 x^{2} - 6 x + 18

4 \cdot (- 7)

40.247 + 0.0069 \cdot 2573.54

x^{6} + x^{4}

\frac{400}{3}